ArticleProceedings. Mathematical, physical, and engineering sciences2020
A pseudo-anelastic model for stress softening in liquid crystal elastomers.
Article in Proceedings. Mathematical, physical, and engineering sciences, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed, 19 citations in OpenAlex.
- Rapid Surface Charge Mapping Based on a Liquid Crystal Microchip.Biosensors · 2024Article
- A mathematical model for the auxetic response of liquid crystal elastomers.Philosophical transactions. Series A, Mathematical, physical, and engineering sciences · 2022Article
- Mechanics of tension-induced film wrinkling and restabilization: a review.Proceedings. Mathematical, physical, and engineering sciences · 2022Review
- Poly(l-Lactide) Liquid Crystals with Tailor-Made Properties Toward a Specific Nematic Mesophase Texture.ACS sustainable chemistry & engineering · 2022Article
- Nematic liquid crystalline elastomers are aeolotropic materials.Proceedings. Mathematical, physical, and engineering sciences · 2021Article
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Authors and funding
2 authors at 2 institutions in 1 country.
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Abstract
Liquid crystal elastomers exhibit stress softening with residual strain under cyclic loads. Here, we model this phenomenon by generalizing the classical pseudo-elastic formulation of the Mullins effect in rubber. Specifically, we modify the neoclassical strain-energy density of liquid crystal elastomers, depending on the deformation and the nematic director, by incorporating two continuous variables that account for stress softening and the associated set strain. As the material behaviour is governed by different forms of the strain-energy density on loading and unloading, the model is referred to as pseudo-anelastic. We then analyse qualitatively the mechanical responses of the material under cyclic uniaxial tension, which is easier to reproduce in practice, and further specialize the model in order to calibrate its parameters to recent experimental data at different temperatures. The excellent agreement between the numerical and experimental results confirms the suitability of our approach. Since the pseudo-energy function is controlled by the strain-energy density for the primary deformation, it is valid also for materials under multiaxial loads. Our study is relevant to mechanical damping applications and serves as a motivation for further experimental tests.
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